Finding the Third Proportional to 79,776 and 172,760

Step by Step Solution

1. Step 1: Write the proportion equation
   79,776 : 172,760 = 172,760 : x
2. Step 2: Convert to fraction form
   79,776/172,760 = 172,760/x
3. Step 3: Cross multiply
   79,776x = 172,760 × 172,760
4. Step 4: Simplify right side
   79,776x = 29,846,017,600
5. Step 5: Solve for x
   x = 29,846,017,600/79,776
6. Step 6: Final answer
   x = 374,122.76